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Simplifying d2 + -4d = 3d Reorder the terms: -4d + d2 = 3d Solving -4d + d2 = 3d Solving for variable 'd'. Reorder the terms: -4d + -3d + d2 = 3d + -3d Combine like terms: -4d + -3d = -7d -7d + d2 = 3d + -3d Combine like terms: 3d + -3d = 0 -7d + d2 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-7 + d) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(-7 + d)' equal to zero and attempt to solve: Simplifying -7 + d = 0 Solving -7 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + d = 0 + 7 d = 0 + 7 Combine like terms: 0 + 7 = 7 d = 7 Simplifying d = 7Solution
d = {0, 7}
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